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Finding the Fourth Proportional to 602.59, 903.94 and 217.75

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Solution

The fourth proportional to 602.59, 903.94 and 217.75 is: 326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.59 : 903.94 = 217.75 : x
  2. Step 2: Convert to fraction form
    602.59/903.94 = 217.75/x
  3. Step 3: Cross multiply
    602.59x = 903.94 × 217.75
  4. Step 4: Simplify right side
    602.59x = 196,832.94
  5. Step 5: Solve for x
    x = 196,832.94/602.59
  6. Step 6: Final answer
    x = 326.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.